Abramov, Viktor

Generalized Lie Theory in Mathematics, Physics and Beyond

Abramov, Viktor - Generalized Lie Theory in Mathematics, Physics and Beyond, ebook


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ISBN: 9783540853329
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Table of contents

I. Non-Associative and Non-Commutative Structures for Physics

1. Moufang Transformations and Noether Currents
Eugen Paal

2. Weakly Nonassociative Algebras, Riccati and KP Hierarchies
Aristophanes Dimakis, Folkert Müller-Hoissen

3. Applications of Transvectants
Chris Athorne

4. Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanics
Artur E. Ruuge, Fred Oystaeyen

5. A Rewriting Approach to Graph Invariants
Lars Hellström

II. Non-Commutative Deformations, Quantization, Homological Methods, and Representations

6. Graded q-Differential Algebra Approach to q-Connection
Viktor Abramov

7. On Generalized N-Complexes Coming from Twisted Derivations
Daniel Larsson, Sergei D. Silvestrov

8. Remarks on Quantizations, Words and R-Matrices
Hilja L. Huru

9. Connections on Modules over Singularities of Finite and Tame CM Representation Type
Eivind Eriksen, Trond Stølen Gustavsen

10. Computing Noncommutative Global Deformations Of D-Modules
Eivind Eriksen

11. Comparing Small Orthogonal Classes
G. D'Este

III. Groups and Actions

12. How to Compose Lagrangian?
Eugen Paal, Jüri Virkepu

13. Semidirect Products of Generalized Quaternion Groups by a Cyclic Group
Peeter Puusemp

14. A Characterization Of A Class Of 2-Groups By Their Endomorphism Semigroups
Tatjana Gramushnjak, Peeter Puusemp

15. Adjoint Representations and Movements
Maido Rahula, Vitali Retšnoi

16. Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus
Helge Glöckner

IV. Quasi-Lie, Super-Lie, Hom-Hopf and Super-Hopf Structures and Extensions, Deformations and Generalizations of Infinite-Dimensional Lie Algebras

17. Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
Abdenacer Makhlouf, Sergei Silvestrov

18. Bosonisation and Parastatistics
K. Kanakoglou, C. Daskaloyannis

19. Deformations of the Witt, Virasoro, and Current Algebra
M. Schlichenmaier

20. Conformal Algebras in the Context of Linear Algebraic Groups
Pavel Kolesnikov

21. Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions
Gunnar Sigurdsson, Sergei Silvestrov

22. A Note on Quasi-Lie and Hom-Lie Structures of s-Derivations of C=[Z
Lionel Richard, Sergei Silvestrov

V. Commutative Subalgebras in Noncommutative Algebras

23. Algebraic Dependence of Commuting Elements in Algebras
Sergei Silvestrov, Christian Svensson, Marcel de Jeu

24. Crossed Product-Like and Pre-Crystalline Graded Rings
Johan Öinert, Sergei D. Silvestrov

25. Decomposition of the Enveloping Algebra so(5)
Cestmír Burdík, Ondrej Navrátil

Keywords: MATHEMATICS / General MAT000000

Publication year
Natural Sciences

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